copyright © 2013 pearson education, inc. all rights reserved chapter 5 continuous random variables

Chapter 5

Continuous Random Variables

Figure SIA5.1 Target placement on gun range

Continuous Probability Distributions

Figure 5.1 A probability f(x) for a continuous random variable x

Definition

Figure 5.2 Density Function for Friction Coefficient, Example 5.1

The Uniform Distribution

Figure 5.3 The uniform probability distribution

Definition

Figure 5.4 Distribution for x in Example 5.2

Figure 5.5 Probability that car breaks down within 1.5 months of purchase

The Normal Distribution

Figure 5.6 A normal probability distribution

Figure 5.7 Several normal distributions with different means and Standard deviations

Procedure

Figure 5.8 Several normal distributions: 01

Definition

Table 5.1

Figure 5.9 Areas under the standard normal curve for Example 5.3

Figure 5.10 Finding z =1.33 in the standard normal table, Example 5.3

Definition

Figure 5.14 Areas under the normal curve for Example 5.7

Procedure

Figure 5.15 Area under the normal curve for Example 5.8

Figure 5.16 Area under the standard normal curve for Example 5.9

Figure 5.18 Area under the normal curve for Example 5.11

Figure SIA5.2 MINITAB worksheet with cumulative normal probabilities

Descriptive Methods for Assessing Normality

Procedure

Definition

Table 5.2

Figure 5.19a MINITAB histogram for gas mileage data

Figure 5.19b MINITAB Descriptive statistics for gas mileage data

Figure 5.19c SPSS normal probability plot for gas mileage data

Table 5.3

Table SIA5.1

Figure SIA5.3a MINITAB histogram for the horizontal hit measurements when

Figure SIA5.3b MINITAB histogram for the horizontal hit measurements when

Figure SIA5.3c MINITAB histogram for the horizontal hit measurements when

Approximating a Binomial Distribution with a Normal Distribution (Optional)

Figure 5.20 Binomial distribution for n= 20, p = .6 and normal distribution with = 12,

Figure 5.21 Rule of thumb for normal approximation to binomial probabilities

Figure 5.22 Normal approximation to the binomial distribution with n = 200, p = .06

Figure 5.23 Standard normal distribution

Procedure

The Exponential Distribution (Optional)

Definition

Figure 5.25 Exponential distributions

Procedure

Figure 5.27 Area to the right of a = 5 for Example 5.14

Figure 5.28 Area to the left of a = 5 for Example 5.15

Figure 5.29 Area in the interval for Example 5.15

copyright © 2013 pearson education, inc. all rights reserved chapter 5 continuous random variables

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